Let \( f(x)=\ln \left(2 x-x^{2}\right)+\sin \frac{\pi x}{2} \). Then, (a) graph of \( f \) is sy...

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Let \( f(x)=\ln \left(2 x-x^{2}\right)+\sin \frac{\pi x}{2} \). Then,
(a) graph of \( f \) is symmetrical about the line \( x=1 \)
(b) graph of \( f \) is symmetrical about the line \( x=2 \)
(c) maximum value of \( f \) is 1
(d) minimum value of \( f \) does not exist
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